To Do

Overview

Summary

Photography has been a hobby of mine for most of my life, and I found a particular niche in abstract photography, specifically multi-exposure images. This background inspired me to find mathematical ways to analyze my photo library as a whole, with a special focus on color trends and affinities.

Business Application

The processes used in this project have a business application within a mobile app. By evaluating a user’s camera roll, the app could discern favorite colors and suggest products that match that color profile.

Data Collection Method

Flickr API

  • Worked backwards from the present to separate generic images (downloads, memes, screenshots, videos) from photos (robust EXIF data)
  • Collected 4500 usable flickr IDs (more IDs meant a larger date range to sample from)
    • (Python script was used to randomly select from the mega-list)
  • Selected IDs had their EXIF data collected (again) and jpg downloaded at “XL” size
  • EXIF data was saved to its own CSV

Python

  • Each photo was mathematically divided into 9 subimages, to allow for full-photo trends to be compared against center-image trends
    • (All calculations were done on each photo 10 times, once for the full photo, and once for each sub-image. In retrospect, much of the sub-image processing was redundant and could have been gathered via subsetting the full-image matrix)
  • Gamma adjustment (RGB linearization)
  • Conversion to HSL for “readable” values (colorsys library)
  • Segmentation (“posterization”) (pymeanshift library)

Note:

Shout out to my buddy Phil! He was a great resource for feedback and encouragement as I formulated my processing script, but also donated runtime on his computer and processed 250 images used in this dataset.

PyMeanShift/Segmentation

A photograph with 4000 pixels may have 4000 different color values represented. I wanted to “clump” pixels with similar colors in the same area of an image into a single color value. PyMeanShift accomplishes this by taking in the image and three numerical variables: spatial radius, range radius, and minimum density. These refer to maximum color difference, maximum placement difference, and minimum “clump” size, respectively.

https://ieeexplore.ieee.org/document/1000236

Datapoints Collected

EXIF

FlickrID - unique identifier for each photo

DateTimeOriginal/CreateDate/ModifyDate - attempted to capture whether the images were edited on the phone (unsuccessful)

Software - iOS version or mobile app used for photo capture

LensInfo/ LensModel - data on which phone lens capture the photo

JFIFVersion - compression marker applied by some 3rd party apps. Disappears when image is edited in native iOS photos app.

ISO - light sensitivity setting

ExposureTime - in seconds (fractions)

FNumber - aperture

FocalLength- Fixed to LensInfo/LensModel

FocalLengthIn35mmFormat - iOS interpretation of zoom level

BrightnessValue - Auto-generated brightness value

SubjectArea -  Coordinate values generated by iOS (not directly relevant to this project, but captured for future use)

Image Data

A python class was used to gather image data as attributes, then dumped to a csv with vars(). 

All relevant attributes/variables described below

using_id - Flickr ID

img_width - in pixels

img_height - in pixels

do_img_at - timestamp for evaluating processing time 

sub_img - 0 for whole image, 1 for top-left, 2 for middle-left, 5 for center, etc.

full_id - concat of flickrID and sub_image to form unique identifier.

RGB Overview Statistics

(r/g/b)_min - (3 columns) Minimum red/green/blue channel value in the whole image

(r/g/b)_max - (3 columns) Maximum red/green/blue channel value

(r/g/b)_mean - (3 columns) Average red/green/blue channel value

(r/g/b)_mode - (3 columns) count of common red/green/blue channel value (forgot to capture its value :facepalm: (in my attempt to capture the value, I neglected to reset the index of the pandas dataSeries))

center_rgb - (tuple) R/G/B value of the pixel mathematically in the center of the image

Next segment of columns captured from segmented/posterized image

post_num_regions - number of color “clumps” after processing

post_top_hsl - (tuple) most common pixel value

post_top_count - quantity of most common pixel value

post_(2-6)_hsl - (5 columns)(tuples) next most common pixel values, in descending order of frequency

post_(2-6)_count - (5 columns) counts for their respective common pixel values

center_hsl - (tuple) HSL value of the pixel mathematically in the center of the image

Hue color banding was done by subjective eyeball measurement

All hues: red, orange, yellow, green, cyan, blue, purple, magenta

full_(hue)_count - count of all pixels that fell within the hue band, regardless of saturation and lightness

visib_(hue)_count - count of pixels in the hue band deemed as “visibly [hue]” (saturation over 40%, lightness between 20% and 75%)

vivid_(hue)_count - count of pixels in the hue band deemed as “vividly [hue]” (saturation over 70%, lightness between 30% and 70%)

Saturation Statistics

sat_min_val - lowest saturation value in image

sat_25_val - 25% quartile value

sat_50_val - median saturation

sat_75_val - 75% quartile value

sat_max_val - most saturation

HSL Mean Values

hue_mean_val - average hue value (not incredibly meaningful on a looping spectrum)

sat_mean_val - average saturation value

light_mean_val - average brightness

Lightness Statistics

light_max_val - brightest value

light_max_count - quantity of pixels within 1.5% (literal) of the max lightness value

light_min_val - darkest value

light_min_count - quantity of pixels within 1.5% (literal) of he minimum lightness value (darkest)

light_25_value - 25% quartile value

light_50_value - median brightness

light_75_value - 75% quartile value

gen_bright_count - quantity of pixels with over 85% lightness

gen_dark_count - quantity of pixels with under 15% brightness

common_hsl_(1-4)_val - (4 columns)(tuple) four most common HSL values

common_hsl_(1-4)_count - (4 columns) quantities of the four most common HSL values

Data Collation

Due to collecting image processing data on multiple computers, multiple files were created for exif and image data – partly by design and party due to occasional read/write conflicts on shared files. All records were gathered into Excel and checked for duplicates before exporting as CSVs.

Hypotheses

H1 - Hue vs Date

\(Ho:\) There is no correlation between time of year and color values

\(Ha:\) Warm color values are more prominent between May and September

H2 - Lightness vs Time

\(Ho:\) There is no correlation between time of day and lightness values

\(Ha:\) Lightness values are higher between 6 am and 6pm

H3 - Saturation vs Subject

\(Ho:\) There is no correlation between saturation and being a picture of my cat

\(Ha:\) Low saturation values are increasingly common over time, especially in central sub-images

H4 - Vividness vs Image Type

\(Ho:\) Vivid ratio (percentage of vivid pixels) is uniformly distributed among all Software types

\(Ha:\) Vivid ratio is consistently highest in Slow Shutter Cam photos without JFIF values

R

Preparing the Data

Imports

Cleaning

Pre Import:
Sub-image data for main images (0) was bugged in the first hours of image processing. This was fixed in Excel during the data collation stage.

EXIF:

  • Fix column headers
  • Drop columns: date_time_original, modify_date, lens_info, f_number, focal_length
  • NA values - JFIF <- 0,  subject_area <- >depends on data type< “0 0 0 0”
# names(exif) <- gsub("([a-z0-9])([A-Z])", "\\1_\\2", names(exif))
# names(exif) <- names(exif) %>% tolower()

exif_tidy <- select(exif, -c(date_time_original, modify_date, lens_info, fnumber, focal_length))
exif_tidy <- replace_na(exif_tidy, list(subject_area = "0 0 0 0", jfifversion = 0))

Img_data:

  • Drop columns: flickr, img_loc, the_image, crop_coords, r_mode, b_mode, g_mode, img_height, img_width, do_img_at
  • Na values - post_2-6_hsl <- (-1,-1,-1)
imgsd_tidy <- select(img_data, -c(flickr, img_loc, the_image, img_width, img_height, crop_coords, do_img_at, r_mode, b_mode, g_mode))

imgsd_tidy <- replace_na(imgsd_tidy, list(
  post_2_hsl = "(-1, -1, -1)",
  post_3_hsl = "(-1, -1, -1)",
  post_4_hsl = "(-1, -1, -1)",
  post_5_hsl = "(-1, -1, -1)",
  post_6_hsl = "(-1, -1, -1)"
  )
  )

Basic Feature Engineering

EXIF

  • Split date_time_original to year, month-day, time columns
  • Date column uses a placeholder year so month-to-month comparisons are consistent

# exif_tidy <- exif_tidy %>% separate(create_date, into = c('date', 'time'), sep = " ", remove = TRUE) %>% separate(date, into = c('year', 'month', 'day'), sep = ":") 

exif_tidy$date <- as.Date(paste("1881", exif_tidy$month, exif_tidy$day, sep = "-"), format ="%Y-%m-%d")

Img_data

  • Count by flickr id

    • Add count(flickr_id) to EXIF
    • Flag counts under 10
    • Flag counts under 6 (ie: subimage 5 not available)
    • Output list of all flickrIDs with less than 10 records for additional (future) processing

subimg_qty <- imgsd_tidy %>% count(using_id)

To my (happy) surprise, only 5 images have less than 10 results and only 2 have less than 6. In the interest of time, I’m noting these IDs by hand and simply removing them from my working data


good_ids <- subimg_qty[subimg_qty$n >=6, "using_id"]

imgsd_tidy <- imgsd_tidy %>% filter(using_id %in% good_ids$using_id)

exif_tidy <- exif_tidy %>% filter(flickr_id %in% good_ids$using_id)
  • Total pixels = full_(hue)_count(s) (dimension data incorrect for first 1400 records)

imgsd_tidy <- imgsd_tidy %>% mutate(total_pixels = full_red_count +
                                      full_orange_count +
                                      full_yellow_count +
                                      full_green_count +
                                      full_cyan_count +
                                      full_blue_count + 
                                      full_purple_count +
                                      full_mag_count)
  • Split pixel lists/tuples for 3-d mapping
imgsd_tidy$center_hsl <- str_replace(imgsd_tidy$center_hsl, '\\[|\\]', '')

imgsd_tidy <- imgsd_tidy %>% mutate_all(~ gsub('\\(|\\)', '', .))

imgsd_split <- imgsd_tidy %>% 
  separate(center_rgb, 
           into = c('center_r', 'center_g', 'center_b'), 
           sep = ',') %>%
  separate(post_top_hsl, 
           into = c('post_top_hue', 'post_top_sat', 'post_top_light'), 
           sep = ',') %>%
  separate(post_2_hsl, 
           into = c('post_2_hue', 'post_2_sat', 'post_2_light'), 
           sep = ',') %>%
  separate(post_3_hsl, 
           into = c('post_3_hue', 'post_3_sat', 'post_3_light'), 
           sep = ',') %>%  
  separate(post_4_hsl, 
           into = c('post_4_hue', 'post_4_sat', 'post_4_light'), 
           sep = ',') %>%
  separate(post_5_hsl, 
           into = c('post_5_hue', 'post_5_sat', 'post_5_light'), 
           sep = ',') %>%
  separate(post_6_hsl, 
           into = c('post_6_hue', 'post_6_sat', 'post_6_light'), 
           sep = ',') %>%
  separate(center_hsl, 
           into = c('center_hue', 'center_sat', 'center_light'), 
           sep = ',') %>%
  separate(common_hsl_1_val, 
           into = c('common_hsl_1_hue', 'common_hsl_1_sat', 'common_hsl_1_light'), 
           sep = ',') %>%
  separate(common_hsl_2_val, 
           into = c('common_hsl_2_hue', 'common_hsl_2_sat', 'common_hsl_2_light'), 
           sep = ',') %>%
  separate(common_hsl_3_val, 
           into = c('common_hsl_3_hue', 'common_hsl_3_sat', 'common_hsl_3_light'), 
           sep = ',') %>%
  separate(common_hsl_4_val, 
           into = c('common_hsl_4_hue', 'common_hsl_4_sat', 'common_hsl_4_light'), 
           sep = ',')

I probably should have saved those independently during the python image processing stage.

  • To be added as needed:

    • Using total_pixels to calculate specific ratios

Exploration

3D Scatter

https://plotly.com/r/3d-scatter-plots/

  • Center rgb
fig <- plot_ly(imgsd_split, x=~center_r, y= ~center_g, z= ~center_b, 
               type = "scatter3d", mode="markers", size = 1, color = ~sub_img)

fig
  • Rgb mean

fig <- plot_ly(imgsd_split, x=~r_mean, y= ~g_mean, z= ~b_mean,
               type = "scatter3d", mode="markers", size = 2, color = ~sub_img)

fig
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
  • Hsl mean

fig <- plot_ly(imgsd_split, x=~hue_mean_val, y= ~sat_mean_val, z= ~light_mean_val,
               type = "scatter3d", mode="markers", size = 1, color = ~sub_img)

fig
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
  • Post_top_hsl
fig <- plot_ly(imgsd_split, x=~post_top_hue, y= ~post_top_sat, z= ~post_top_light,
               type = "scatter3d", mode="markers", size = 2, color = ~sub_img)

fig
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
  • Common_hsl_1_vals

fig <- plot_ly(imgsd_split, 
               x=~common_hsl_1_hue, 
               y= ~common_hsl_1_sat, 
               z= ~common_hsl_1_light,
               type = "scatter3d", mode="markers", size = 2, color = ~sub_img)

fig
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
  • Common_hsl_2_vals
fig <- plot_ly(imgsd_split, 
               x=~common_hsl_2_hue, 
               y= ~common_hsl_2_sat, 
               z= ~common_hsl_2_light,
               type = "scatter3d", mode="markers", size = 2, color = ~sub_img)

fig
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors

fig <- plot_ly(imgsd_split, 
               x=~common_hsl_3_hue, 
               y= ~common_hsl_3_sat, 
               z= ~common_hsl_3_light,
               type = "scatter3d", mode="markers", size = 2, color = ~sub_img)

fig
Warning: Ignoring 2 observationsWarning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: Ignoring 2 observationsWarning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
fig <- plot_ly(imgsd_split, 
               x=~common_hsl_4_hue, 
               y= ~common_hsl_4_sat, 
               z= ~common_hsl_4_light,
               type = "scatter3d", mode="markers", size = 2, color = ~sub_img)

fig
Warning: Ignoring 2 observationsWarning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: Ignoring 2 observationsWarning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors

2D Scatter


fig <- plot_ly(imgsd_split, 
               x=~common_hsl_4_hue, 
               y= ~common_hsl_4_sat, 
               type = "scatter", mode="markers", size = 2, color = ~sub_img)
  • Light min x light max
fig <- plot_ly(imgsd_split, 
               x=~light_min_val, 
               y= ~light_max_val, 
               type = "scatter", mode="markers", size = 2, color = ~sub_img)

fig
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
  • Gen bright x gen dark
imgsd_split$gen_bright_count <- as.integer(imgsd_split$gen_bright_count)


imgsd_split$gen_dark_count <- as.integer(imgsd_split$gen_dark_count)

fig <- plot_ly(imgsd_split, 
               x=~gen_bright_count, 
               y= ~gen_dark_count, 
               type = "scatter", mode="markers", size = 2, color = ~sub_img)

fig
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
  • Sat min x sat max

# imgsd_split$gen_bright_count <- as.integer(imgsd_split$gen_bright_count)


# imgsd_split$gen_dark_count <- as.integer(imgsd_split$gen_dark_count)

fig <- plot_ly(imgsd_split, 
               x=~sat_min_val, 
               y= ~sat_max_val, 
               type = "scatter", mode="markers", size = 2, color = ~sub_img)

fig
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors
Warning: n too large, allowed maximum for palette Set2 is 8
Returning the palette you asked for with that many colors

1D Histograms

  • Vivid %
  • Post-num (filter by img segment)
  • Exif brightness
  • Mean_lightness
  • (r/g/b) mean
  • Date distribution (with and without year)

0D Pie Charts

  • Full color bands
  • Vis color bands
  • Vivid color bands

Analysis

-trim exif down to id/date-time/software/brightness info

Left join to add date/software data from exif to img_data

*do facets with sub_img numbers*

H1

H2

H3

H4

Conclusion

plot(cars)

Add a new chunk by clicking the Insert Chunk button on the toolbar or by pressing Ctrl+Alt+I.

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---
title: "Dataset Capstone"
output: html_notebook
---

# To Do

-   Fix links

-   Make a gif of pymeanshift samples with variables/stats

-   Visualize color values

# Overview

## Summary

Photography has been a hobby of mine for most of my life, and I found a particular niche in abstract photography, specifically multi-exposure images. This background inspired me to find mathematical ways to analyze my photo library as a whole, with a special focus on color trends and affinities.

## Business Application

The processes used in this project have a business application within a mobile app. By evaluating a user's camera roll, the app could discern favorite colors and suggest products that match that color profile.

## Data Collection Method

### Flickr API

-   Worked backwards from the present to separate generic images (downloads, memes, screenshots, videos) from photos (robust EXIF data)
-   Collected 4500 usable flickr IDs (more IDs meant a larger date range to sample from)
    -   (Python script was used to randomly select from the mega-list)
-   Selected IDs had their EXIF data collected (again) and jpg downloaded at "XL" size
-   EXIF data was saved to its own CSV

### Python

-   Each photo was mathematically divided into 9 subimages, to allow for full-photo trends to be compared against center-image trends
    -   (All calculations were done on each photo 10 times, once for the full photo, and once for each sub-image. In retrospect, much of the sub-image processing was redundant and could have been gathered via subsetting the full-image matrix)
-   Gamma adjustment (RGB linearization)
    -   [https://en.wikipedia.org/wiki/SRGB#Transfer_function\_(%22g\`amma%22](https://en.wikipedia.org/wiki/SRGB#Transfer_function_(%22g%60amma%22)%7B.uri%7D)
-   Conversion to HSL for "readable" values (colorsys library)
-   Segmentation ("posterization") (pymeanshift library)
    -   <https://github.com/fjean/pymeanshift>

**Note**:

Shout out to my buddy Phil! He was a great resource for feedback and encouragement as I formulated my processing script, but also donated runtime on his computer and processed 250 images used in this dataset.

#### **PyMeanShift/Segmentation**

A photograph with 4000 pixels may have 4000 different color values represented. I wanted to "clump" pixels with similar colors in the same area of an image into a single color value. PyMeanShift accomplishes this by taking in the image and three numerical variables: spatial radius, range radius, and minimum density. These refer to maximum color difference, maximum placement difference, and minimum "clump" size, respectively.

<https://ieeexplore.ieee.org/document/1000236>

## Datapoints Collected

### EXIF

**FlickrID** - unique identifier for each photo

**DateTimeOriginal/CreateDate/ModifyDate** - attempted to capture whether the images were edited on the phone (unsuccessful)

**Software** - iOS version or mobile app used for photo capture

**LensInfo/ LensModel** - data on which phone lens capture the photo

**JFIFVersion** - compression marker applied by some 3rd party apps. Disappears when image is edited in native iOS photos app.

**ISO** - light sensitivity setting

**ExposureTime** - in seconds (fractions)

**FNumber** - aperture

**FocalLength**- Fixed to LensInfo/LensModel

**FocalLengthIn35mmFormat** - iOS interpretation of zoom level

**BrightnessValue** - Auto-generated brightness value

**SubjectArea** -  Coordinate values generated by iOS (not directly relevant to this project, but captured for future use)

### Image Data

A python class was used to gather image data as attributes, then dumped to a csv with vars(). 

All relevant attributes/variables described below

**using_id** - Flickr ID

**img_width** - in pixels

**img_height** - in pixels

**do_img_at** - timestamp for evaluating processing time 

**sub_img** - 0 for whole image, 1 for top-left, 2 for middle-left, 5 for center, etc.

**full_id** - concat of flickrID and sub_image to form unique identifier.

***RGB Overview Statistics***

**(r/g/b)\_min** - *(3 columns)* Minimum red/green/blue channel value in the whole image

**(r/g/b)\_max** - *(3 columns)* Maximum red/green/blue channel value

**(r/g/b)\_mean** - *(3 columns)* Average red/green/blue channel value

**(r/g/b)\_mode** - *(3 columns)* count of common red/green/blue channel value (forgot to capture its value :facepalm: (in my attempt to capture the value, I neglected to reset the index of the pandas dataSeries))

**center_rgb** - *(tuple)* R/G/B value of the pixel mathematically in the center of the image

***Next segment of columns captured from segmented/posterized image***

**post_num_regions** - number of color "clumps" after processing

**post_top_hsl** - (tuple) most common pixel value

**post_top_count** - quantity of most common pixel value

**post\_(2-6)\_hsl** - *(5 columns)(tuples)* next most common pixel values, in descending order of frequency

**post\_(2-6)\_count** - *(5 columns)* counts for their respective common pixel values

**center_hsl** - *(tuple)* HSL value of the pixel mathematically in the center of the image

***Hue color banding was done by subjective eyeball measurement***

***All hues: red, orange, yellow, green, cyan, blue, purple, magenta***

**full\_(hue)\_count** - count of all pixels that fell within the hue band, regardless of saturation and lightness

**visib\_(hue)\_count** - count of pixels in the hue band deemed as "visibly [hue]" (saturation over 40%, lightness between 20% and 75%)

**vivid\_(hue)\_count** - count of pixels in the hue band deemed as "vividly [hue]" (saturation over 70%, lightness between 30% and 70%)

***Saturation Statistics***

**sat_min_val** - lowest saturation value in image

**sat_25_val** - 25% quartile value

**sat_50_val** - median saturation

**sat_75_val** - 75% quartile value

**sat_max_val** - most saturation

***HSL Mean Values***

**hue_mean_val** - average hue value (not incredibly meaningful on a looping spectrum)

**sat_mean_val** - average saturation value

**light_mean_val** - average brightness

***Lightness Statistics***

**light_max_val** - brightest value

**light_max_count** - quantity of pixels within 1.5% (literal) of the max lightness value

**light_min_val** - darkest value

**light_min_count** - quantity of pixels within 1.5% (literal) of he minimum lightness value (darkest)

**light_25_value** - 25% quartile value

**light_50_value** - median brightness

**light_75_value** - 75% quartile value

**gen_bright_count** - quantity of pixels with over 85% lightness

**gen_dark_count** - quantity of pixels with under 15% brightness

**common_hsl\_(1-4)\_val** - *(4 columns)(tuple)* four most common HSL values

**common_hsl\_(1-4)\_count** - *(4 columns)* quantities of the four most common HSL values

#### Data Collation

Due to collecting image processing data on multiple computers, multiple files were created for exif and image data -- partly by design and party due to occasional read/write conflicts on shared files. All records were gathered into Excel and checked for duplicates before exporting as CSVs.

# Hypotheses

### H1 - Hue vs Date

$Ho:$ There is no correlation between time of year and color values

$Ha:$ Warm color values are more prominent between May and September

### H2 - Lightness vs Time

$Ho:$ There is no correlation between time of day and lightness values

$Ha:$ Lightness values are higher between 6 am and 6pm

### H3 - Saturation vs Subject

$Ho:$ There is no correlation between saturation and being a picture of my cat

$Ha:$ Low saturation values are increasingly common over time, especially in central sub-images

### H4 - Vividness vs Image Type

$Ho:$ Vivid ratio (percentage of vivid pixels) is uniformly distributed among all Software types

$Ha:$ Vivid ratio is consistently highest in Slow Shutter Cam photos without JFIF values

# R

## Preparing the Data

### Imports

```{r}

library(tidyverse)
library(plotly)

exif <- read_csv("capstone_exif.csv")
img_data <- read_csv("capstone_img_data.csv")

spec(exif)
spec(img_data)
```

### Cleaning

**Pre Import:**\
Sub-image data for main images (0) was bugged in the first hours of image processing. This was fixed in Excel during the data collation stage.

**EXIF:**

-   Fix column headers
-   Drop columns: date_time_original, modify_date, lens_info, f_number, focal_length
-   NA values - JFIF \<- 0,  subject_area \<- \>depends on data type\< "0 0 0 0"

```{r}
# names(exif) <- gsub("([a-z0-9])([A-Z])", "\\1_\\2", names(exif))
# names(exif) <- names(exif) %>% tolower()

exif_tidy <- select(exif, -c(date_time_original, modify_date, lens_info, fnumber, focal_length))
exif_tidy <- replace_na(exif_tidy, list(subject_area = "0 0 0 0", jfifversion = 0))

```

**Img_data:**

-   Drop columns: flickr, img_loc, the_image, crop_coords, r_mode, b_mode, g_mode, img_height, img_width, do_img_at
-   Na values - post_2-6_hsl \<- (-1,-1,-1)

```{r}
imgsd_tidy <- select(img_data, -c(flickr, img_loc, the_image, img_width, img_height, crop_coords, do_img_at, r_mode, b_mode, g_mode))

imgsd_tidy <- replace_na(imgsd_tidy, list(
  post_2_hsl = "(-1, -1, -1)",
  post_3_hsl = "(-1, -1, -1)",
  post_4_hsl = "(-1, -1, -1)",
  post_5_hsl = "(-1, -1, -1)",
  post_6_hsl = "(-1, -1, -1)"
  )
  )

```

### Basic Feature Engineering

**EXIF**

-   Split date_time_original to year, month-day, time columns
-   Date column uses a placeholder year so month-to-month comparisons are consistent

```{r}

exif_tidy <- exif_tidy %>% separate(create_date, into = c('date', 'time'), sep = " ", remove = TRUE) %>% separate(date, into = c('year', 'month', 'day'), sep = ":") 

exif_tidy$date <- as.Date(paste("1881", exif_tidy$month, exif_tidy$day, sep = "-"), format ="%Y-%m-%d")
```

**Img_data**

-   Count by flickr id

    -   Add count(flickr_id) to EXIF
    -   Flag counts under 10
    -   Flag counts under 6 (ie: subimage 5 not available)
    -   Output list of all flickrIDs with less than 10 records for additional (future) processing

```{r}

subimg_qty <- imgsd_tidy %>% count(using_id)

```

To my (happy) surprise, only 5 images have less than 10 results and only 2 have less than 6. In the interest of time, I'm noting these IDs by hand and simply removing them from my working data

```{r}

good_ids <- subimg_qty[subimg_qty$n >=6, "using_id"]

imgsd_tidy <- imgsd_tidy %>% filter(using_id %in% good_ids$using_id)

exif_tidy <- exif_tidy %>% filter(flickr_id %in% good_ids$using_id)

```

-   Total pixels = full\_(hue)\_count(s) (dimension data incorrect for first 1400 records)

```{r}

imgsd_tidy <- imgsd_tidy %>% mutate(total_pixels = full_red_count +
                                      full_orange_count +
                                      full_yellow_count +
                                      full_green_count +
                                      full_cyan_count +
                                      full_blue_count + 
                                      full_purple_count +
                                      full_mag_count)

```

-   Split pixel lists/tuples for 3-d mapping

```{r}
imgsd_tidy$center_hsl <- str_replace(imgsd_tidy$center_hsl, '\\[|\\]', '')

imgsd_tidy <- imgsd_tidy %>% mutate_all(~ gsub('\\(|\\)', '', .))

imgsd_split <- imgsd_tidy %>% 
  separate(center_rgb, 
           into = c('center_r', 'center_g', 'center_b'), 
           sep = ',') %>%
  separate(post_top_hsl, 
           into = c('post_top_hue', 'post_top_sat', 'post_top_light'), 
           sep = ',') %>%
  separate(post_2_hsl, 
           into = c('post_2_hue', 'post_2_sat', 'post_2_light'), 
           sep = ',') %>%
  separate(post_3_hsl, 
           into = c('post_3_hue', 'post_3_sat', 'post_3_light'), 
           sep = ',') %>%  
  separate(post_4_hsl, 
           into = c('post_4_hue', 'post_4_sat', 'post_4_light'), 
           sep = ',') %>%
  separate(post_5_hsl, 
           into = c('post_5_hue', 'post_5_sat', 'post_5_light'), 
           sep = ',') %>%
  separate(post_6_hsl, 
           into = c('post_6_hue', 'post_6_sat', 'post_6_light'), 
           sep = ',') %>%
  separate(center_hsl, 
           into = c('center_hue', 'center_sat', 'center_light'), 
           sep = ',') %>%
  separate(common_hsl_1_val, 
           into = c('common_hsl_1_hue', 'common_hsl_1_sat', 'common_hsl_1_light'), 
           sep = ',') %>%
  separate(common_hsl_2_val, 
           into = c('common_hsl_2_hue', 'common_hsl_2_sat', 'common_hsl_2_light'), 
           sep = ',') %>%
  separate(common_hsl_3_val, 
           into = c('common_hsl_3_hue', 'common_hsl_3_sat', 'common_hsl_3_light'), 
           sep = ',') %>%
  separate(common_hsl_4_val, 
           into = c('common_hsl_4_hue', 'common_hsl_4_sat', 'common_hsl_4_light'), 
           sep = ',')

```

I probably should have saved those independently during the python image processing stage.

-   To be added as needed:

    -   Using total_pixels to calculate specific ratios

## Exploration

### 3D Scatter

<https://plotly.com/r/3d-scatter-plots/>

-   Center rgb

```{r}
fig <- plot_ly(imgsd_split, x=~center_r, y= ~center_g, z= ~center_b, 
               type = "scatter3d", mode="markers", size = 1, color = ~sub_img)

fig
```

-   Rgb mean

```{r}

fig <- plot_ly(imgsd_split, x=~r_mean, y= ~g_mean, z= ~b_mean,
               type = "scatter3d", mode="markers", size = 2, color = ~sub_img)

fig
```

-   Hsl mean

```{r}

fig <- plot_ly(imgsd_split, x=~hue_mean_val, y= ~sat_mean_val, z= ~light_mean_val,
               type = "scatter3d", mode="markers", size = 1, color = ~sub_img)

fig

```

-   Post_top_hsl

```{r}
fig <- plot_ly(imgsd_split, x=~post_top_hue, y= ~post_top_sat, z= ~post_top_light,
               type = "scatter3d", mode="markers", size = 2, color = ~sub_img)

fig
```

-   Common_hsl_1_vals

```{r}

fig <- plot_ly(imgsd_split, 
               x=~common_hsl_1_hue, 
               y= ~common_hsl_1_sat, 
               z= ~common_hsl_1_light,
               type = "scatter3d", mode="markers", size = 2, color = ~sub_img)

fig

```

-   Common_hsl_2_vals

```{r}
fig <- plot_ly(imgsd_split, 
               x=~common_hsl_2_hue, 
               y= ~common_hsl_2_sat, 
               z= ~common_hsl_2_light,
               type = "scatter3d", mode="markers", size = 2, color = ~sub_img)

fig
```

```{r}

fig <- plot_ly(imgsd_split, 
               x=~common_hsl_3_hue, 
               y= ~common_hsl_3_sat, 
               z= ~common_hsl_3_light,
               type = "scatter3d", mode="markers", size = 2, color = ~sub_img)

fig
```

```{r}
fig <- plot_ly(imgsd_split, 
               x=~common_hsl_4_hue, 
               y= ~common_hsl_4_sat, 
               z= ~common_hsl_4_light,
               type = "scatter3d", mode="markers", size = 2, color = ~sub_img)

fig
```

### 2D Scatter

```{r}

fig <- plot_ly(imgsd_split, 
               x=~common_hsl_4_hue, 
               y= ~common_hsl_4_sat, 
               type = "scatter", mode="markers", size = 2, color = ~sub_img)

```

-   Light min x light max

```{r}
fig <- plot_ly(imgsd_split, 
               x=~light_min_val, 
               y= ~light_max_val, 
               type = "scatter", mode="markers", size = 2, color = ~sub_img)

fig
```

-   Gen bright x gen dark

```{r}
imgsd_split$gen_bright_count <- as.integer(imgsd_split$gen_bright_count)


imgsd_split$gen_dark_count <- as.integer(imgsd_split$gen_dark_count)

fig <- plot_ly(imgsd_split, 
               x=~gen_bright_count, 
               y= ~gen_dark_count, 
               type = "scatter", mode="markers", size = 2, color = ~sub_img)

fig
```

-   Sat min x sat max

```{r}

fig <- plot_ly(imgsd_split, 
               x=~sat_min_val, 
               y= ~sat_max_val, 
               type = "scatter", mode="markers", size = 2, color = ~sub_img)

fig

```

### 1D Histograms

-   Vivid %
-   Post-num (filter by img segment)
-   Exif brightness
-   Mean_lightness
-   (r/g/b) mean
-   Date distribution (with and without year)

### 0D Pie Charts

-   Full color bands
-   Vis color bands
-   Vivid color bands

## Analysis

**-trim exif down to id/date-time/software/brightness info**

**Left join to add date/software data from exif to img_data**

**\*do facets with sub_img numbers\***

### H1

### H2

### H3

### H4

# Conclusion

```{r}
plot(cars)
```

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